trent has a collection of 198 baseball and basketball training cards. he has 4.5 times as many baseball cards as basketball cards. how many baseball cards does trent have in his collection?

The correct equation that represents the direct variation between the total cost of gasoline and the number of gallons purchased is C = 1.46n.

The question involves finding the equation that represents the direct variation between the total cost of gasoline c, and the number of gallons purchased n. Kathy pays $23.36 for 16 gallons of gasoline. To find the unit price, we divide the total cost by the number of gallons:

$23.36 ÷ 16 gallons = $1.46 per gallon

Since the total cost varies directly with the number of gallons, we can express this as c = $1.46 × n. Thus, option A, C = 1.46n, shows the correct relationship between the total cost of gasoline, c, and the number of gallons purchased, n.

Answer:

17

Step-by-step explanation:

Given:

The given expression is.

[tex]3x+2[/tex]

We need to solve the given expression for [tex]x = 5[/tex].

Solution:

Rewrite the expression as.

[tex]f(x)=3x+2[/tex]

Substitute x = 5 in above expression.

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=3\times 5 + 2[/tex]

Now we multiply 5 with 3.

[tex]f(5)=15+2[/tex]

Now we add right side terms.

[tex]f(5)=17[/tex]

Therefore, The correct value of given expression is [tex]3x+2=17[/tex] for [tex]x=5[/tex].

Answer:

Step-by-step explanation:

6x + 7zy = 15

7zy = 15-6x

y = (15-6x)/7z

The population of bacteria after 40 hours is 254

Step-by-step explanation:

Initial population of bacteria = 40

Growth rate: Doubles every 15 hours

The population function is given as:

[tex]P_t = P_0 * r^t[/tex]

Here

P0 is the initial population

r is the growth rate

and t is the time in hours

The growth rate will be: [tex]2^{\frac{t}{15}}[/tex]

Putting the values in the function

[tex]P_t = 40 * 2^{\frac{40}{15}}\\P_t = 40 * 2^{2.67}\\P_t = 40 * 6.34960...\\P_t = 253.98416...[/tex]

Rounding off to nearest whole number we get

P_t ≅254

Keywords: Population growth,, bacteria

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From the information, the population of the bacteria will be 254.

Based on the information given, the population function will be:

= P × 2r

where, P = initial population of the bacteria

= 40 × 6.349

= 253.98

= 254

Therefore, it can be deduced that the population of the bacteria after 4 hours will be 254.

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Answer:

The addition of given fractions is [tex]\frac{11}{12}[/tex]

Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]

Step-by-step explanation:

Given fractional expression is [tex]\frac{1}{4}+\frac{2}{3}[/tex]

To find the addition of given fractions :

Adding the given fractions we get

[tex]\frac{1}{4}+\frac{2}{3}[/tex]

[tex]=\frac{1(3)+2(4)}{12}[/tex] ( here taking 12 as LCM )

[tex]=\frac{3+8}{12}[/tex]

[tex]=\frac{11}{12}[/tex]

Therefore [tex]\frac{1}{4}+\frac{2}{3}=\frac{11}{12}[/tex]

The addition of given fractions is [tex]\frac{11}{12}[/tex]

The location of point A of the number line will be at 2 ¹/₃.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The section between the numbers 2 and 3 will be 3.

The location of point A is given as,

⇒ 2 + 1/3

Convert the expression into a mixed fraction number. Then we have

⇒ 2 + 1/3

⇒ 2 ¹/₃

The location of point A of the number line will be at 2 ¹/₃.

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Answer: i think 4x4/8

Step-by-step explanation:

Answer:first one

Step-by-step explanation:4 2/8

Just watched like 3 vids on multiplying unit fractions by whole numbers

Answer:

Step-by-step explanation:

48.75

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{4}[/tex] and c = - 1, thus

y = [tex]\frac{1}{4}[/tex] x - 1 → C

Answer:4b +1b + 3 =5b + 3

Step-by-step explanation:add 1b to 4b will give you 5b plus the 3

Answer:

4b+1b+3=5b+3

Step-by-step explanation:

Answer:

5 shirts for $21

Step-by-step explanation:

25.50÷6= 4.25

18.00÷4= 4.50

21.00÷5= 4.20

Answer:1300

Step-by-step explanation:

in a week =25$

a year has 52wks

so...52×25=1300$in a year

Answer:

$1300

Step-by-step explanation:

$25 / week

52 weeks per year

52($25) = $1300

Hope this helps :)

Answer:

2x + 5y = - 15

Step-by-step explanation:

The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex].

Now, we have to arrange this in the standard form.

So, [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex]

⇒ 5(y + 7) = - 2(x - 10)

⇒ 5y + 35 = - 2x + 20

⇒ 2x + 5y = - 15 (Answer)

Answer:

Step-by-step explanation:

Amount the teacher as $400

A calculator cost $70

The no. Of calculator he teacher can get is = 400/70 = 5.71

The teacher can get 5 calculator

Step-by-step explanation:

A(promotional sign)b

A=kb

4=21k

K=0. 1904

A=0. 2b

A=0. 2×7

A=1. 4

:

Step-by-step explanation:

a varies directly with b

a ∞ b

a = Kb

K is the constant of proportionality

If a = 4 when b = 21

4 = 21×k

4 = 21k

k = 4/21

: - a = 4b/21

find a when b= 7.

a = 4(7)/21

a = 4/3

a = 1 1/3

Answer:

(-1,5)

Step-by-step explanation:

Let the coordinates of point A be (a,b).

We have that B is at (-5,1)

Assuming M(-3,3) is the midpoint of the segment AB, then

[tex](-3, 3 )= ( \frac{a + - 5}{2}, \frac{b + 1}{2} )[/tex]

This means that:

[tex]- 3 = \frac{a + - 5}{2}[/tex]

and

[tex]3 =\frac{b + 1}{2}[/tex]

This implies that 2*-3=a-5 and 3*2=b+1

-6=a-5 and 6=b+1.

a=5-6 and b=6-1

a=-1 and b=5.

Therefore the coordinates of A are:

(-1,5)

Step-by-step explanation:

[tex]C(x)=4x^2-3\\\\C(0),\ C(-1),\ C(-2),\ C\left(-\dfrac{3}{2}\right)\\\\\text{Substitute each value}\ \left\{0, -1, -2, -\frac{3}{2}\right\}\ \text{instead}\ C(x):\\\\C(0)=4(0^2)-3=4(0)-3=0-3=-3\\\\C(-1)=4(-1)^2-3=4(1)-3=4-3=1\\\\C(-2)=4(-2)^2-3=4(4)-3=16-3=13\\\\C\left(-\dfrac{3}{2}\right)=4\left(-\dfrac{3}{2}\right)^2-3=4\left(\dfrac{9}{4}\right)-3=9-3=6[/tex]

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Step-by-step explanation:

Given,

Diameter of sphere = 10 inches

Radius of sphere = [tex]\frac{Diameter}{2}=\frac{10}{2}[/tex]

Radius of sphere = 5 inches

Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]

V = [tex]\frac{4}{3}\pi (5)^3[/tex]

[tex]V = \frac{4}{3}\pi * 125\\\\V = \frac{500}{3}\pi[/tex]

The volume of sphere is [tex]\frac{500}{3}\pi[/tex] inches cubed.

Keywords: volume, division

Learn more about division at:

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Answer:

500/3 pi

Step-by-step explanation:

i took le quiz  :)

Answer:

Given that AC ≅ BC, the sides are of equal measures.

CD is a side in both ΔACD and ΔBCD, so the side is equal in both triangles.

Given that CD if the bisector of ∠ACB, the two angles produced are equal: ∠ACD ≅ ∠BCD.

∠ACB is contained between AC and CD in ΔACD. ∠ACB is contained between BC and CD in ΔBCD.

Therefore by the SAS postulate, ΔACD ≅ ΔBCD.

Step-by-step explanation:

The SAS postulate says that if two triangles have a contained angle between two sides that are known to be equal in the other triangle, then the triangles are congruent.

Prove that two sides are equal, then prove that an angle that is between those two sides is also equal.

Answer:

37

Step-by-step explanation:

Plug 5 in for b .

7.4 * 5 = 37

39 miles ------------------------------------------------

Answer:

73

Step-by-step explanation:

Answer:

To do this you want to plug 3 in for d, so your equation will look like this

7(3)^2+10

In the order of PEMDAS you want to do exponents first, because there is no parentheses.

7*9+10 (3^2=9), next you want to multiply

63+10, lastly you want to add

63+10=73

73

Hope this helps ;)

(3 + -8 / 2,7 + -10 / 2)

(-5/2,-3/2)

Hope this helps! ;)

Answer:

8 pizzas can serve 16 guests.

Step-by-step explanation:

So the caterer usually prepares 4 pizzas, but now she prepared twice as many, which means that now there are 4 • 2 = 8 pizzas.

Also, there is an estimation that each guest will eat 1/2 of a pizza.

In order to answer how many guests will 8 pizzas serve, we need to write an equation (pizzas per guest multiplied with number of guests equals the number of pizzas). Let's mark the unknown number of guests with x:

1/2 • x = 8

x = 8 / 1/2

x = 16

So, if each guest eats 1/2 of a pizza, then 8 pizzas will be enough to serve 16 guests.

Answer: First option.

Step-by-step explanation:

Below are some transformations for a function [tex]f(x)[/tex]:

1. If [tex]f(x)+k[/tex], the function is shifted "k" units up.

2 If [tex]f(x)-k[/tex], the function is shifted "k" units down.

3. If [tex]f(x-k)[/tex], the function is shifted "k" units right.

4. If [tex]f(x+k)[/tex], the function is shifted "k" units left.

5. If [tex]-f(x)[/tex], the function is reflected over the x-axis.

6. If [tex]f(-x)[/tex], the function is reflected over the y-axis.

Then, given the parent function [tex]f(x)[/tex]:

[tex]f(x)=2^x[/tex]

And knowing that the the other function is:

[tex]g(x)=-2^{(x+4)}-2[/tex]

You can identify that the function [tex]g(x)[/tex] is obtained by:

- Shifting the function [tex]f(x)[/tex] 4 units left.

-  Reflecting the function  [tex]f(x)[/tex] 4 over the x-axis.

- Shifting the function [tex]f(x)[/tex] 2 units down.

Answer:

A is correct

Step-by-step explanation:

Answer:

I dont know what they tought you in your school...but pizza is 100% good, and 8/2 is 8divided by2 so the answer is 4.

PLESASE MART BRAINLIEST. IT'S OK IF NOT BUT STILL THX.

Answer:

pizza is very good and 8/2 is 4.

Step-by-step explanation:

pls mark brainliest thx! :)

Answer:

Yes, it is a rectangle

Step-by-step explanation:

12 ^2 +35^2 =37^2

Answer:

3/4 book per month

Step-by-step explanation:

12/16=3/4

Ashley's reading rate is calculated by dividing the total number of books she read (12 books) by the number of months it took her to read them (16 months), which gives 0.75 book per month.

The question is about determining Ashley's rate of reading in terms of books per month. The rate is determined by dividing the total number of books she has read by the total number of months. In this case, Ashley has read 12 books in 16 months.

To find Ashley's reading rate, you would divide the total number of books she has read (12 books) by the number of months it took her to read them (16 months), that is 12 books ÷ 16 months = 0.75 book per month.

So Ashley's reading rate is 0.75 book per month.

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